Theorems · Theorem · functional analysis
ClosedSubmodule.mulI_orthogonal
∀ {H : Type u_1} [inst : NormedAddCommGroup H] [ipc : InnerProductSpace ℂ H] (S : ClosedSubmodule ℝ H),
Sᗮ.mulI = S.mulIᗮ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 185 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- Complexstatement and proof · cited by 5,565
- InnerProductSpacestatement and proof · cited by 3,523
- ClosedSubmodulestatement and proof · cited by 123
- ClosedSubmodule.orthogonalstatement and proof · cited by 32
- ClosedSubmodule.mulIstatement and proof · cited by 16
- ClosedSubmodule.symplCompproof · cited by 7
- ClosedSubmodule.mulI_orthogonal_eq_symplCompproof · cited by 2
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